{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10, demo 2\n",
    "\n",
    "Bayesian data analysis\n",
    "\n",
    "Importance sampling example\n",
    "\n",
    "\n",
    "In importance sampling the proposal $g(\\theta)$ does not need to form an envelope over the target $q(\\theta)$. When computing the expectations, draws are weighted based on the ratio of the proposal and the target.\n",
    "\n",
    "$$\n",
    "  \\mathrm{E}[f(\\theta)] \\approx \\frac{\\sum_s w_s f(\\theta^{(s)})}{\\sum_s\n",
    "      w_s}, \\qquad \\text{where} \\quad \n",
    "     w_s =  \\frac{q(\\theta^{(s)})}{g(\\theta^{(s)})} \\qquad.\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import gaussian_kde\n",
    "import preliz as pz\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "pz.style.use('preliz-doc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fake interesting distribution\n",
    "x = np.linspace(-3, 3, 200)\n",
    "r = np.array([ 1.1 ,  1.3 , -0.1 , -0.7 ,  0.2 , -0.4 ,  0.06, -1.7 ,\n",
    "               1.7 ,  0.3 ,  0.7 ,  1.6 , -2.06, -0.74,  0.2 ,  0.5 ])\n",
    "# Estimate the density (named q, to emphasize that it does not need to be\n",
    "# normalized). Parameter bw_method=0.48 is used to mimic the outcome of the\n",
    "# kernelp function in Matlab.\n",
    "q_func = gaussian_kde(r, bw_method=0.48)\n",
    "q = q_func.evaluate(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importance sampling example\n",
    "dist = pz.Normal(0, 1)\n",
    "g = dist.pdf(x)\n",
    "w = q / g\n",
    "r = np.random.randn(100)\n",
    "r = r[np.abs(r) < 3] # remove samples out of the grid\n",
    "wr = q_func.evaluate(r)/dist.pdf(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 7), sharex=True)\n",
    "\n",
    "# Top plot: target and proposal\n",
    "ax1.plot(x, q, label=r'$q(\\theta)$')\n",
    "ax1.plot(x, g, label=r'$g(\\theta)$')\n",
    "ax1.set(yticks=[], title='Target and Proposal Distributions')\n",
    "ax1.legend()\n",
    "\n",
    "# Bottom plot: importance weights\n",
    "ax2.plot(x, w, label=r'$\\frac{q(\\theta)}{g(\\theta)}$')\n",
    "ax2.vlines(r, 0, wr, color='C0', alpha=0.4)\n",
    "ax2.set(ylim=0, yticks=[], title='Samples and Importance Weights')\n",
    "ax2.legend();\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "bda_py_demos",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
